Unless they're using the correct criteria - the Canadian ones or the newer, updated Clinical Concensus ones, they are not diagnosing ME.
And these criteria are not officially recognised in the uk, (yet. Scotland is trying to get them put into use.)
Most of the docs I've seen recently use the Canadian Consensus criteria. In the 1980s, when I was first ill (and before these criteria were developed), the docs I saw referred to Melvin Ramsey's definition which is similar. I've just remembered that I first realised I had ME after reading a newspaper article that David Smith wrote in 1985! When I saw him he was referring to Ramsey's work.
(And of course the term 'chronic fatigue syndrome' was rarely used then, if at all, and when it was it seemed to be referring to something quite different.)